The Computation of Wave Functions in Momentum Space - I: The Helium Atom

1949 ◽  
Vol 62 (8) ◽  
pp. 509-518 ◽  
Author(s):  
R McWeeny ◽  
C A Coulson
Keyword(s):  
Helium Atom ◽  
Momentum Space ◽  
Wave Functions

scholarly journals (2+1)-Dimensional Duffin-Kemmer-Petiau Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Noncommutative Space

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Bing-Qian Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Shu-Rui Wu
Keyword(s):  
Magnetic Field ◽  
Probability Density ◽  
Momentum Space ◽  
Jacobi Polynomials ◽  
Minimal Length ◽  
Wave Functions ◽  
Noncommutative Space ◽  
Space Representation ◽  
Energy Eigenvalues ◽  
Special Cases

Using the momentum space representation, we study the (2 + 1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues is found, and the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.

A comparison of wave functions for the normal helium atom

1937 ◽  
Vol 33 (2) ◽  
pp. 253-259 ◽  
Author(s):  
T. D. H. Baber ◽  
H. R. Hassé
Keyword(s):  
Magnetic Susceptibility ◽  
Helium Atom ◽  
Special Interest ◽  
Wave Functions ◽  
Electric Polarizability ◽  
Made In

The object of this paper is to compare some of the wave functions which have been suggested for the normal helium atom, including one calculated in the first section of the paper, as regards energy, magnetic susceptibility and electric polarizability. Since this atom provides the simplest two-electron problem, such a comparison is of special interest and may indicate the direction in which improvements might be made in the calculation of wave functions for more complicated atoms.

Analytic correlated wave functions in momentum space of excited S -states of Helium like Ions

1997 ◽  
Vol 39 (2) ◽  
pp. 101-107 ◽  
Author(s):  
F. Arias de Saavedra ◽  
E. Buendía ◽  
F. J. Gálvez
Keyword(s):  
Momentum Space ◽  
Wave Functions ◽  
S States
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